Step-by-step explanation:
(i) Area of the first cross section
base,b = 8 m, height,h = 10 m
Area of the triangle = [tex]\frac{1}{2}[/tex] bh
area = [tex]\frac{1}{2}[/tex] (8) (10)
area = 40 m²
(ii) Area of the second cross section
base,b = 12 m, height,h = 10 m
Area of the triangle = [tex]\frac{1}{2}[/tex] bh
area = [tex]\frac{1}{2}[/tex] (12) (10)
area = 60 m²
Difference in the areas of the cross sections = 60 - 40 = 20 m²
please help! you have to find the surface area of the inage below!
What type of data would be best displayed in a dot plot
Answer:
Dot plots work very well for data with a small number of values. They would not work well for large sets of data, because a dot would need to be plotted for each value. Histograms or box plots are more useful for large sets of data.
Step-by-step explanation:
Answer:
or is there answer choices
Step-by-step explanation:
The dot plot are used for unvariate data. This is the data that has only one variable that us being measured. The type of plot is very useful if there is only one variable and the variable is categorical and can be quantified. Categorical variables can be organized and split into categories.
I don’t know how to solve this. Can anyone help me get the answer and the work
If you have to check whether a number is a solution of a given equation, just plug that number in the equation and see if you get something true or false.
For example, the first option claims that -2 and 6 are solutions to the equation.
Let's check it! If we substitute [tex]x=-2[/tex] in the equation we get
[tex]3(-2)^2-34(-2)-24 = 12+68-24=56 \neq 0[/tex]
So, -2 isn't a solution to this equation. Let's check 6:
[tex]3(6)^2-34(6)-24 = 108-204-24=-120 \neq 0[/tex]
So, 6 isn't a solution either.
Keep going like this and you'll find the correct set of solutions.
Answer:
{ - [tex]\frac{2}{3}[/tex], 12 }
Step-by-step explanation:
We can solve the equation by factoring it
3x² - 34x - 24 = 0
Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term
product = 3 × - 24 = - 72 and sum = - 34
The factors are - 36 and + 2
Use these factors to split the x- term
3x² - 36x + 2x - 24 = 0 ( factor the first/second and third/fourth terms )
3x(x - 12) + 2(x - 12) = 0 ← factor out (x - 12) from each term
(x - 12)(3x + 2) = 0
Equate each factor to zero and solve for x
x - 12 = 0 ⇒ x = 12
3x + 2 = 0 ⇒ 3x = - 2 ⇒ x = - [tex]\frac{2}{3}[/tex]
Thus the solution set is { - [tex]\frac{2}{3}[/tex], 12 }
What is the area of a right triangle with a hypotenuse of 8 inches if one of the acute angles is 45 degrees?
.........................
hope this helps ^-^
16in^2
Select all statements that are true of polynomials:
5a²b – 6ab3c + 3a5 is a fifth degree polynomial.
2b-6ab3c + 3a5 has a leading term of 5.
5a²b – 6ab3c + 3a5 contains three terms.
12x – 10x5 – 7 + 3x4 is equivalent to -10x5 + 3x4 + 12x -
12x - 10x5 – 7 + 3x4 has a leading term of -10x5.
12
105 72.4
Answer:
The Statements have been categorized and explanation given.
Step-by-step explanation:
The following statements are true
[tex]5a\²b - 6ab^3c + 3a^5[/tex] is a fifth degree polynomial.
The degree of a polynomial is the highest power in the polynomial, therefore, [tex]5a\²b - 6ab^3c + 3a^5[/tex] is a fifth degree polynomial.[tex]5a\²b - 6ab^3c + 3a^5[/tex] contains three terms.
This is true. The terms are: [tex]5a\²b, - 6ab^3c, 3a^5[/tex][tex]12x -10x^5 - 7 + 3x^4[/tex] is equivalent to [tex]-10x^5 + 3x^4 + 12x -7[/tex]
The second polynomial is a basic rearrangement of the first polynomial, therefore the statement is true.[tex]12x - 10x^5 - 7 + 3x^4[/tex] has a leading term of [tex]-10x^5.[/tex]
The leading term is the term containing the highest power. The highest power is 5 and the term containing it is [tex]-10x^5.[/tex]FALSE
[tex]2b-6ab^3c + 3a^5[/tex] has a leading term of 5.
The leading term of this polynomial is [tex]3a^5[/tex]
Work out the percentage change when a price of £20 is increased to £50.
Answer:
The percentage change from 20 to 50 is 150 %
Step-by-step explanation:
(50 - 20) / 20) * 100 = 150 %
Answer:
150%
Step-by-step explanation:
Let's say the 20 increased by x%. Then, we can write the equation:
20 + x% * 20 = 50
Notice that both terms on the left side have 20, so we can factor this out:
20 * (1 + x%) = 50
Divide both sides by 20:
1 + x% = 50/20 = 2.5
Subtract 1 from both sides:
x% = 1.5
Remember that % simply means "out of 100", so x% = x/100:
x/100 = 1.5
Multiply both sides by 100:
x = 150
Thus, the percent increase is 150%.
Hope this helps!
is a triangle with side lengths of 4,5, and 6 inches a right triangle?
Answer:
yes it can make a right triangle
Step-by-step explanation:
Write a real-world situation that can be modeled by the equation 834 -14s = 978 -10s
Answer:
Step-by-step explanation:
I have 834 dollars and I want to buy 14 pairs of shoes that are each s dollars. My total cost is the same as my friend. He has 978 dollars and he wants to buy 10 of the same shoes that I bought.
Trigonometric ratios in rig triangles pls help
Answer:
D. 35/12
Step-by-step explanation:
[tex] \tan( \alpha ) = \frac{35}{12} \\ [/tex]
Please help. 3. What is the approximate perimeter of △ABC?
15 units is wrong btw, I already tried that.
The perimeter of a triangle is the sum of the lengths of all the sides of a triangle. The perimeter of the given triangle ABC is 14.2 units.
Distance between two points x and y can be calculated using the formula : √(x²+y²)
∴ Length of AB =[tex]\sqrt{(3-(-1))^{2}+(4-1)^{2} }[/tex]= [tex]\sqrt{4^{2} +3^{2} }[/tex] = 5
Length of BC = [tex]\sqrt{((-1)-(-2))^{2}+(1-5)^{2} }[/tex] = [tex]\sqrt{1^{2}+(-4)^2 }[/tex] = √17
Length of AC = [tex]\sqrt{(3-(-2))^{2}+(4-5)^{2} }[/tex] = [tex]\sqrt{5^{2}+(-1)^2 }[/tex] = √26
Perimeter of triangle ABC = Length of AB +Length of BC + Length of AC
= 5 + √17 +√26
= 5 + 4.123 + 5.099
= 14.222
≅ 14.2
Therefore, the approximate perimeter of ΔABC is 14.2 units.
Learn more about perimeter of a triangle:
https://brainly.com/question/29472908
Find the value of the following expression:
(38 ⋅ 2−5 ⋅ 90)−2 ⋅ 2 to the power of negative 2 over 3 to the power of 3, whole to the power of 4 ⋅ 328 (5 points)
Write your answer in simplified form. Show all of your steps
Answer:
-3 . 15^12
Step-by-step explanation:
(38·2 - 5·90) - 2 · ( 2^-2 / 3^3 ) - 4· 3^28
( 190 - 450 ) - 2 · (0.25/27) - 9.15^13
-260 · -2 (0.25/27 ) - 9.15 ^ 13
(-260 · -0.02) - 9.15 ^13
5.2 - 9.15^ 13
-3 . 15^12
Answer:
-3 . 15^12
Step-by-step explanation:
The scores of a dart game are 46, 25, 33, 56, 31, 46, 49, 55, a, b, and c. If 33 is the only mode, 46 is the median, and a>c, what is the possible range of values for a?
The possible range of values for 'a' in the dart game score sequence, considering 46 as the median and 33 as the mode, is from 47 to 55.
Explanation:In the list of dart game scores 46, 25, 33, 56, 31, 46, 49, 55, a, b, and c, with the information that 33 is the mode, 46 is the median, and a > c, we can deduce the following:
As 46 is the median in a list of 11 scores, it is the 6th score when the list is ordered. Thus, there must be four scores greater than 46 which are 49, 55, a, and b assuming that b also must be greater than or equal to 46 as a > c and a and b are both greater than c.
Since 46 is not a mode, there cannot be a third instance of it among the scores a, b, or c. This implies a and b cannot be 46. Therefore, a has to be at least 47.
Now, we also know that a is greater than c, but we do not have any other scores to compare c with. Given that we don't know if c is greater than 46, 46 could potentially be c that would make a at least 47, thus the range of possible values for a starts from 47 to any number greater than that but not 56 as the next score after 55 is 56 which is not a as a > c. Therefore, a could technically be any score above 47 that is less than 56, so the range for a is 47 to 55.
Factor 54c–9d. Write your answer as a product with a whole number greater than 1
Answer:
9(6c - d)
Step-by-step explanation:
[tex]54c - 9d \\ = 9 \times 6c - 9d \\ = 9(6c - d) \\ [/tex]
Talia is solving the following equation.
7x - 4 = 31
Which shows a step Talia can use to solve the equation?
A.
7x - 4 = 31 + 4
B.
7x - 4 + 4 = 31 + 4
C.
7x - 4 - 4 = 31 - 4
D.
7x - 4 = 31 - 4
Answer:
b, 7x-4+4=31+4
Step-by-step explanation:
you always want to start by isolating the x value, which means that you have to get rid of any outside numbers. by adding four, you are getting rife of the four. but, you have to add the four on the other side to keep it equal.
Your sister helped you get a dream job at a designer clothing store and one of the perks of the job is that you get 15% off all clothing that you buy at their store. During your first month of employment you purchased $235 tax-free (before the discount) worth of clothing from the designer store. You worked 25 hours during that month at $9.50 an hour and they deducted 15% of your total paycheck for deductions. Did you still make money in your first month of employment regardless of how much you spent at their store for designer clothes? How much? Show your work.
Answer:
$197.30 revenue.
Step-by-step explanation:
As long as we realise that 15% = $237.50 total revenue - 15% of that revenue $40.20 and the other 15% was totaled prior and kept to one side as seen as expenditure.
revenue = r clothing purchase = p
r = (25 x 10 -12.50) - (p15% of e235)
r = (250 - 12.50) -( e235- p23.5 +11.73)
r = (237.50) - (expenditure 235- p35.73)
r = 237.50 -(expenditure 199.27)
r= 237.50
e = 199.27
p = 35.73
Answer with out including expenditure your sister revenue was $237.50
The 15% deduction cannot be confused with the deduction from clothes.
If we were to calculate 15% of $237.50 this would be 23.7+ 16.85 =$40.2
A different Salary related 15% contribution payments = $40.20
If these were taken from $237.50
Then $237.50- $40.20 = $197.30 revenue, but we do not have to show expenditure in the total only the workings, which is still owed being $199.27- $40.20 already paid towards.
Extension = This means because $40.20 was deducted then expenditure still to be deducted outside of the question would be e. $199.27 - $40.20 = 159.07 still owed. Saying that the 15% was to pay your sisters contribution to the clothes and not to the state.
Rounded to the nearest tenth, approximately how many ounces is 82.4 kilograms?
A. 233.6 ounces
B. 290 ounces
C. 2,336 ounces
D. 2,900.5 ounces
82.4 kilograms is approximately 2906.6 ounces, to the nearest tenth. None of the given answer choices are correct.
Explanation:The question asks for the approximate value in ounces of 82.4 kilograms, rounded to the nearest tenth. The conversion factor from kilograms to ounces is approximately 35.274. Therefore, we multiply 82.4 kg by this conversion factor to convert the weight to ounces.
To perform the calculation, use this formula: 82.4 kg × 35.274 oz/kg. After multiplication, we obtain a result of 2906.6288 ounces. Finally, rounding to the nearest tenth, the value is approximately 2906.6 ounces.
Without being an option, we can say that none of the given answer choices are correct.
Learn more about Weight Conversion here:https://brainly.com/question/11429990
#SPJ12
If the sales tax rate in California is 7.25% then how much would you pay in Los Angeles for a pair of shoes that cost 39.00?
Answer:
41.83
Step-by-step explanation:
39 x .0725)+ 39 = 41.827, rounded up = 41.83
hello:) how to do this? using partial fractions
Help easy points not hard
Answer:
17.5 cm
Step-by-step explanation:
Ever since Renata moved to her new home, she's been keeping track of the height of the tree outside her window.
H represents the height of the tree (in centimeters),
t years since Renata moved in.
H=210+33t
How fast does the tree grow?
Answer:
33 cm/year
Step-by-step explanation:
H = 33t + 210
Slope= 33
Slope is also the rate or change:
Growth rate: 33 cm per year
Answer:
Consider the given function:
[tex]h(t)=210+33t[/tex]
From the linear function, 210 is the height of the tree from whenever Renata moved to her new home, and 33 states that the tree grows 33 cm per year.
So "How fast does the tree grow?"
The tree grows 33 cm per year.
A rectangle has a height of 2y^3+52y
3
+52, y, cubed, plus, 5 and a width of y^3+6yy
3
+6yy, cubed, plus, 6, y.
Express the area of the entire rectangle.
Your answer should be a polynomial in standard form.
9514 1404 393
Answer:
2y^6 +12y^4 +5y^3 +30y
Step-by-step explanation:
Given:
rectangle height: 2y^3 +5
and width: y^3+6y
Find:
the area as a polynomial
Solution:
The area is the product of height and width:
A = (2y^3 +5)(y^3 +6y)
A = (2y^3)(y^3 +6y) +5(y^3 +6y)
A = 2y^6 +12y^4 +5y^3 +30y . . . . area of the rectangle
The area of the rectangle, given the height 2y^3+52y and the width y^3+6y, is calculated by multiplying these expressions together. In standard form, the area is 2y^6+64y^4+312y^2.
Explanation:The question pertains to the calculation of the area of a rectangle given the expressions for its height and width. The area of a rectangle is calculated by multiplying its height and width together.
The given height of the rectangle is 2y^3+52y and the width is y^3+6y. Therefore, to calculate the area, we multiply these two expressions together. Using distributive properties of multiplication over addition, we get:
Area = (2y^3+52y) * (y^3+6y)
=
2y^6+12y^4+52y^4+312y^2
So, the area of the rectangle in standard form is 2y^6+64y^4+312y^2.
Learn more about Rectangle Area here:https://brainly.com/question/31566854
#SPJ3
For each inequality, write all one-digit integers that satisfy it.
k>0
Final answer:
To find all one-digit integers satisfying the inequality k > 0, we list every positive one-digit integer from 1 to 9, as these are the numbers that are greater than zero and meet the conditions of the inequality.
Explanation:
The question asks to identify all one-digit integers that satisfy the inequality k > 0. This inequality means that k must be greater than 0. Since we are only considering one-digit integers, we need to list all the numbers from 1 to 9, as these are the positive one-digit integers.
1
2
3
4
5
6
7
8
9
Each of these numbers is greater than 0 and thus satisfies the inequality k > 0. Numbers that are zero or negative do not meet the requirement of the inequality.
-7 + 10Z > -27
Helpppppo
Answer:
Z > -2
Step-by-step explanation:
-7 + 10Z > -27
Add 7 to each side
-7 +7+ 10Z > -27+7
10Z > -20
Divide each side by 10
10Z/10 > -20/10
Z > -2
Analyze the dot plots. What is the difference between the medians of the two data sets? mm
Answer:
4
Step-by-step explanation:
Answer:
4 i think, i am taking the test and i got it right ;P
A survey of voters explored the relationship between the ages of voters and whether or not they support building skateboard ramps at a local park. (3 points)
Round answers to the nearest whole percent.
1. What percentage of surveyed voters in the 58 and over age group are in favor to building skateboard ramps?
2. What percentage of surveyed voters in the 18-37 age group are opposed of building skateboard ramps?
3. What is the percentage of the total number of people that are in favor to building skateboard ramps?
Below is the complete question:
A survey of voters explored the
relationship between the ages of voters
and whether or not they support building
skateboard ramps at a local park.
Chart:
Age In Favor Opposed Total
18-37 40 10 50
38-57 27 23 50
58 and 6 44 50
over
Total 73 77 150
Answer:
1. 12%
2. 20%
3. 49%
Step-by-step explanation:
Please kindly check the attached files for explanation:
Solve: 12^2 + 4x = 0
Answer:
Step-by-step explanation:
12² + 4x = 0
144 + 4x = 0
subtract 144 from both sides
144 + 4x - 144 = 0 - 144
4x = -144
divide both sides by 4
[tex]\frac{4x}{4}=\frac{-144}{4}\\\\x=-36[/tex]
2 dot plots on number lines going from 80 to 100 in increments of 2. For Deanna's Quiz Scores, there are 0 dots above 80, 82, and 84, 2 dots above 86, 3 above 88, 3 above 90, 2 above 92, 3 above 94, 2 above 96, and 0 above 98 and 100. For Amy's Quiz Scores, the are 0 dots above 80, 2 above 82, 1 above 84, 2 above 86, 1 above 88, 2 above 90, 1 above 92, 2 above 94, 3 above 96, 1 above 98, and 0 above 100. Use the dot plots to answer the questions. Deanna’s mean quiz score is approximately . Amy’s mean quiz score is approximately .
Answer:
Deanna’s mean quiz score is approximately is 90.93 Amy’s mean quiz score is approximately is 90.27
Step-by-step explanation:
:)
Answer:
Deanna’s mean quiz score is approximately
✔ 90.93
Amy’s mean quiz score is approximately
✔ 90.27
A class consists of 55% boys and 45% girls. It is observed that 25%
of the class are boys and scored an A on the test, and 35% of the
class are girls and scored an A on the test.
What is the probability of a student chosen at random and is found
to be a boy, given that the student scored an A?
A- 0.7778
B- 0.4545
C- 0.6364
D- 0.5556
Answer:
B 0.4545
Step-by-step solution
25/100 are boys and got an A
35/100 are girls got an A
so there are 25/55 students that got an a
if you convert to decimal its
0.4545...
Substitute 6 for x and evaluate the expression below. 4(x - 10) + 2
Answer:
-14
Step-by-step explanation:
4(x - 10) + 2
Let x = 6
4(6-10)+2
Parentheses first
4(-4) +2
Multiply and divide
-16+2
-14
Answer: -14
Step-by-step explanation:
4 (6 - 10) + 2
First, we do whats in the parenthesis.
6 - 10 = -4
4 * -4 = -16
-16 + 2 = -14
Steve completed 9 homework problems in class. The function p(m) relates the time (in minutes) Steve spent on his homework at home to the total number of problems he completed. The input is the number of minutes worked. The output is the number of problems completed.
p(m) = m/6 + 9
Which equation represents the inverse function m(p), which uses problems completed as the input and gives minutes worked as the output?
A. m(p) = 54p + 6
B. m(p) = 6p + 54
C. m(p) = 54p - 6
D. m(p) = 6p - 54
Answer:
D. m(p) = 6p - 54
Step-by-step explanation:
substitute p(m) for y and p for x
then switch x and y
y=x/6 + 9
then switch
x=y/6 + 9
then solve to get the answer
which is y=6x-54
or m(p) = 6p - 54